"Confused over Kurzgewehr, Frederick's army." Topic

I've been trying to work out how to arm Prussian infantry officers and NCOs and I'm a bit confused and in need of clarification. Please forgive the diverse range of pictures.

My current understanding is that Officers carried a half pike of 2.36m, with this design (A);

NCOs were armed half-pikes measuring 10 Rhenish feet, 3.06 m in the musketeer and fusilier companies, of one of the following designs;

or this

or this

and in the grenadier companies longer versions of 13 Rhenish feet, 4.10 m , were used according to Kronoskaff.

Questions; is there any way of determining the style a particular regiment would have used? The "flame" version seems to pop up quite frequently in the fusilier regiments, but is there a definitive way of telling?
The long grenadier 4.10m version; this sounds suspiciously like the long half pikes introduced experimentally in 1755 to add to the "cold steel" effect, but were subsequently withdrawn; did they stay on in use by grenadier NCO's? Were grenadier half pikes of a consistent design or did they match those for the line companies of their parent regiments?

I realise the pictured designs may not be Prussian examples, but its just to show the designs.

Well Christopher Duffy says very little about them, except to say, in general, that Frederick cared very little about Regimental distinctions on the whole.

Therefore given the universalities of Regimental tradition I would expect that each Regiment would have jealously guarded its orginal set of halberds, and had the ordies 'locally amend' newly issued replacements to attempt to match the traditional patterns if losses on campaign needed to be made up…

Purely hypothesis, of course….

probably a doctoral thesis in this one, for a German speaker

Hmm, good luck getting a supervisor…

somebody somewhere , would know all this but they probably don't come to TMP